Nuclear quadrupole resonance (NQR) was once written off as a “dead” field, but has recently had a modest rebirth, and has been applied with success to several areas of materials science, most notably the high‐
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superconductors. The name itself is a misnomer—NQR is really (NMR) at zero field. For that reason, it has many of the same disadvantages as the more familiar NMR spectroscopy e.g., poor sensitivity and complications arising from molecular dynamics, but because it does not require a superconducting magnet, NQR is generally cheaper and can be applied to a far greater number of nuclei. It is inherently noninvasive and nondestructive, and can be applied both to pure substances and to materials in situ. It is currently, for example, being used as an antiterrorist technique to screen persons and baggage for the presence of explosives, using receiver coils that are of the order of 1 m in radius. The principal disadvantage of NQR, other than sensitivity, is that, as a radiofrequency (RF) technique, it is incompatible with conducting or ferromagnetic materials; however, for the somewhat narrow range of materials to which it can be applied, NQR gives information which is otherwise unavailable.
The NQR properties of a material are primarily defined by a transition frequency or set of transition frequencies, which can be used to determine two parameters—the quadrupole coupling constant, and the asymmetry parameter. These quantities are often quite characteristic of particular materials—as when they are used to detect drugs or explosives—but are also sensitive to temperature and pressure, and can therefore be used as a noninvasive probe of these properties. Moreover, by applying external spatially varying magnetic or radiofrequency fields, the NQR signal can be made position‐dependent, allowing the distribution of the NQR‐active species in the material to be imaged. Finally, the relaxation times of NQR nuclei are highly sensitive to dynamics, and so can be used as a local probe of molecular mobility.
The internal structure of materials can also be imaged by x‐ray tomography and ultrasonic methods, which depend on the existence of inhomogeneities in the distribution of x‐ray absorbers, or acoustic properties, respectively. The stress and pressure dependences of the NQR frequency are generally much stronger than those of NMR imaging, and therefore NQR is a superior method for mapping the temperature or stress distribution across a sample. Such stress distributions can be determined for optically transparent material by using polarized light; for opaque material, there may be no alternative methods.
This article aims to be a general and somewhat cursory review of the theory and practice of modern one‐dimensional (1D) and two‐dimensional (2D) NQR and NQR imaging.